Single and coupled degenerate defect modes in two-dimensional photonic crystal band gaps
- American Physical Society
- Publication Type:
- Journal Article
- Mahmoodian Sahand et al. 2009, 'Single and coupled degenerate defect modes in two-dimensional photonic crystal band gaps', American Physical Society, vol. 79, no. 1, pp. 013814-1-013814-12.
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We investigate the formation and coupling of defect modes in two-dimensional photonic crystal (PC) band gaps associated with degenerate edges. Using a method based on Green's functions and perturbation theory, we derive a condition for the degeneracy of a defect mode in a PC band gap. We show that the interaction between multiple degenerate defects splits this degeneracy and provide a semi-analytic model for the splitting using a 4??4 tight-binding matrix. We observe that the structure of this tight-binding matrix is related to the overlap and corresponding symmetry of the defect modes. We confirm our analysis by comparing with numerical results.
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